When I go in search of a GOOD load in my accurized AR15, I shoot 10 shot groups and will pull the average of 3-4 10 shot groups at 100 yards.
I can honestly say, I have never shot a 3 shot group. When I started the search for an accurate handload I used to do 5 shot groups and I found that 5 shots wasn't enough for a decent statistical sampling. I'd get one group that did like 5 shots into 1/2 inch and then when I went to shoot another group I'd have it unexpectedly open up to 3/4 inch.
I was doing all I could to eliminate shooter induced error but I would still have groups doing strange things, one group at 1/4 inch for 3 shots to open up to 1/2 inch or so, another group with 4 shots into 1/2 inch and the 5th putting it at 3/4 inch.
Finally I figured that this was just part of the accuracy capabilities of the rifle with that particular load and 5 shot groups weren't giving me a good example of it's standard distribution. When I opened up to 10 shot groups I found that I was getting LOTS of 3/4 inch groups and that was about the most that it would open up to. Within these 10 shot groups I was finding that often times 6-7 shots would go through 1/2 inch or less then 3-4 shots would be responsible for opening the groups up.
I have yet to tune my loads any further than that, I don't have a chronograph so I don't know what my velocity extreme spreads are. As I start pushing the distances out further it will be important for me to start getting my extreme spreads and standard deviation for velocity to be a little more consistent.
As it stands now, it's just one heck of a nasty squirrel rifle that reigns death on the varmintcong out to rediculous ranges.
Also, the way I shoot my 10 shot groups reflects how I expect to shoot my rifle out in the field. Often times I shoot my 10 shot groups about as fast as I can line up on target and pull the trigger, out in the field shooting at squirrels it can get BUSY firing 10-20 shots depending on the number of squirrels or missed shots at unknown ranges. Firing off 10 shots in under 2 minutes is a lot different than firing off 10 shots spaced out over a 1/2 hour.
3 shot groups in my opinion don't give anyone bragging rights, heck when I've put my AR10 on paper testing handloads it's first 3 shots typically go into right around 3/8-1/2 inch but by the 5th shot it almost always opens up to 1 inch as the barrel heats up. Non-freefloated barrel. One of these days I'll do a 5 shot group spaced out over a longer period of time to see what it does when it's barrel isn't heating up, or after I get a freefloated handguard on it.
I will also generally do 10 shot groups with my ordinary AR15s to test how they fair between a hot barrel and a colder barrel. Shooting in action rifle matches I've had the barrels on a 20 inch Hbar hot enough to start giving heat banding through an optic at a lowly 6x magnification. Effects of heat mirage on the optics aside, testing for the way the barrel shoots when hot is a totally different thing, 3 shot groups is hardly enough of a sample size to give a good idea of how the rifle is performing.
I wish the testing magazines would get the heck away from the stupid 3 shot groups, even the 5 shot groups. Unless they start doing the averages of like 10 3 shot groups or 5 5 shot groups.